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Hereditary order convexity in L(X, Y)
This item is provided by the institution :
National Technical University of Athens
Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
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ΕΚΤ item type
Journal part
(EN)
Scientific article
(EN)
EKT year
1989
(EN)
EKT historical period
Title
Hereditary order convexity in L(X, Y) (EN)
Creator
Hadjisavvas, N (EN)
Kravvaritis, D (EN)
Pantelidis, G (EN)
Polyrakis, I (EN)
Description
Let X be a topological vector space, Y an ordered topological vector space and L(X, Y) the space of all linear and continuous mappings from X into Y. The hereditary order-convex cover [K]h of a subset K of L(X, Y) is defined by [K]h ={A∈L(X, Y):Ax∈[Kx] for all x∈X}, where [Kx] is the order-convex of Kx. In this paper we study the hereditary order-convex cover of a subset of L(X, Y). We show how this cover can be constructed in specific cases and investigate its structural and topological properties. Our results extend to the space L(X, Y) some of the known properties of the convex hull of subsets of X*. © 1989 Springer. (EN)
Type
journalArticle (EN)
Provider
National Technical University of Athens
Repository / collection
Digital Library of National Technical University of Athens | Dspace@NTUA
Subcollections
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal
Rendiconti del Circolo Matematico di Palermo (EN)
Issued
1989 (EN)
Identifier
http://hdl.handle.net/123456789/10021
1 (EN)
10.1007/BF02844855 (EN)
38 (EN)
139 (EN)
0009725X (EN)
130 (EN)
Publisher
Springer-Verlag (EN)
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